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Finding the Fourth Proportional to 110,137.96, 165,038.72 and 81,921.56

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Solution

The fourth proportional to 110,137.96, 165,038.72 and 81,921.56 is: 122,757.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,137.96 : 165,038.72 = 81,921.56 : x
  2. Step 2: Convert to fraction form
    110,137.96/165,038.72 = 81,921.56/x
  3. Step 3: Cross multiply
    110,137.96x = 165,038.72 × 81,921.56
  4. Step 4: Simplify right side
    110,137.96x = 13,520,229,405.79
  5. Step 5: Solve for x
    x = 13,520,229,405.79/110,137.96
  6. Step 6: Final answer
    x = 122,757.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.